EOC Review Packet

Due: Friday, April 20th

**If you are FCAT Testing on April 20th, it is your responsibility to get the packet to me before school,

during lunch or through a classmate***

You MUST show and label all of your work to receive credit.

We will work on parts of this packet during class time the week of April 16th, so be sure to bring the

packet to school with you.

This assignment is worth 3 Homework grades and 1 Notebook grade.

Late packets will lose 15 points per day the packet is late.

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MA.912.G.7.5 38. Gina stores her toys in a container that has a cylindrical body and a conical lid, as shown below.

She wants to cover the entire exterior portion of the container with paper. How much paper, in square feet, would Gina need? A. 16π B. 20π C. 24π D. 28π

MA.912.G.7.5

39. A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below.

The maximum volume of liquid that can be poured into the cylindrical container when empty is ________ cm3. Use 3.14 for π.

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MA.912.G.7.6 40. The volume of two similar solids is 1331 m3 and 729 m3. The surface area of the larger solid is 605 m2. What is the surface area, in square meters, of the smaller solid? A. 81 B. 121 C. 305 D. 405 MA.912.G.7.6

41. Jake has two similar cylindrical pipes. The radius of the first cylindrical pipe is 5 cm. The circumference of the second cylindrical pipe is 20π cm. The volume of the second cylindrical pipe is how many times greater than the volume of the first cylindrical pipe? A. 3 B. 4 C. 5 D. 8 MA.912.G.7.7

42. A sandpit in the shape of a rectangular prism has length 7 feet, width 5 feet, and height 1.75 feet. It is filled to the brim with sand. Joe puts this sand into a second sandpit having the same shape but a larger base. He needs 17.5 cubic feet of sand to fill the extra space inside the second sandpit. If the height of the two sandpits is the same, what are the dimensions of the base of the second sandpit?

A. 5 feet x 2 feet B. 10 feet x 7 feet C. 9 feet x 5 feet D. 20 feet x 25 feet

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MA.912.G.7.7 43. If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original radius was multiplied by _________.

MA.912.G.6.6/ MA.912.G.6.7

44. Look at the circle shown below.

What is the equation of the circle? A. x2 + (y – 2)2 = 36 B. x2 + (y – 2)2 = 6 C. (x – 2)2 + y 2 = 36 D. (x – 2)2 + y 2 = 6

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MA.912.G.6.6/ MA.912.G.6.7 45. The equation of a circle is shown below.

(x -5)2 + (y + 2)2 = 64

The radius of the circle is ________ units.

MA.912.G.6.5/MA.912.G.6.2/MA.912.G.6.4

46. A satellite sends signals from space to the regions that lie within the shaded portion of the Earth, as shown below.

If the radius of Earth is approximately 6000 kilometers, the part of Earth that receives signals from the satellite has an area of _____ square kilometers. Use 3.14 for π.

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MA.912.G.6.5/MA.912.G.6.2/MA.912.G.6.4 47. Tiara bought a cylindrical shaped cake with a base area of 64 square inches. The image below is a top view of the cake. The shaded portion represents the chocolate flavored icing and the white square portion represents the vanilla flavored icing. Tiara cuts out a piece of cake with chocolate icing for herself and a piece of cake with vanilla icing for Meg, as shown below.

Assuming the icing only appears on top of the cake, about how much more icing did Meg get than Tiara? Use 3.14 for π. A. 4.4 in2 B. 6.8 in2 C. 10.2 in2 D. 12.2 in2

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MA.912.G.7.4

48. The figure below shows a sphere with its center at O. The points A, B, C, and D are on the surface of the sphere.

How many tangents to the sphere have been shown in the figure?

A. 0 B. 1 C. 2 D. 3

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MA.912.G.7.5/MA.912.G.7.6

49. The figure below shows two congruent pyramids.

The base area of Pyramid 1 is 12 cm2, and the height is 2 cm. Which expression can be used to calculate the volume, in cm3, of Pyramid 2?

A. 1 12 22× ×

B. 1 12 23× ×

C. 1 12 24× ×

D. 1 12 26× ×

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MA.912.G.7.5/MA.912.G.7.6 50. Harry has two similar cans, as shown below.

The lateral surface area of Can A is ____square inches. Use 3.14 for π.

MA.912.D.6.2/MA.912.D.6.3 51. Read the statement shown below. “If two supplementary angles are congruent, then they are right angles.”

Which of these is the contrapositive of the statement?

A. If two supplementary angles are right angles, then they are congruent. B. If two supplementary angles are congruent, then they must be right angles. C. If two supplementary angles are not right angles, then they are not congruent. D. If two supplementary angles are not congruent, then they are not right angles.

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MA.912.D.6.4 52. Which of these is a valid conclusion? A. All sergeants clear a fitness test. Harry has cleared a fitness test. Therefore, Harry is a sergeant.

B. All sergeants clear a fitness test. Harry has not cleared a fitness test. Therefore, Harry is not a sergeant.

C. All sergeants clear a fitness test. Harry is a sergeant. Therefore, Harry has not cleared a fitness test.

D. All sergeants clear a fitness test. Harry is not a sergeant. Therefore, Harry has not cleared a fitness test. MA.912.G.8.4

53. Read the statement shown below. “All squares are parallelograms.” Which of the following is a sufficient condition for the above statement to be true?

A. A square has equal diagonals. B. A square has four right angles. C. A square has its opposite sides parallel. D. A square has diagonals which intersect at right angles.

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MA.912.G.8.4 54. Look at the quadrilateral EFGD.

Jamie and Jason have listed the following conditions for Quadrilateral DEFG to be a kite.

Jamie’s conditions

1. DEFG is definitely a kite if the diagonals are perpendicular. 2. DEFG is definitely a kite if angle EFH is equal to GFH. 3. DEFG is definitely a kite if DE =DG.

Jason’s conditions

1. DEFG is definitely a kite if the longer diagonal bisects the shorter one. 2. DEFG is definitely a kite if angle DEF is equal to DGF. 3. DEFG is definitely a kite if FE =FG. Which pair of conditions together justify that DEFG is a kite?

A. Jamie’s condition 1 and Jason’s condition 1 B. Jamie’s condition 1 and Jason’s condition 2 C. Jamie’s condition 3 and Jason’s condition 3 D. Jamie’s condition 2 and Jason’s condition 3

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MA.912.G.4.6 55. In the figure shown below, segment AM bisects angle BAC, and NC is drawn parallel to AM.

Which triangle is similar to Triangle BAM?

A. Triangle BNC B. Triangle MAC C. Triangle BAC D. Triangle ACN MA.912.G.4.6 56. The figure below shows two squares ABPQ and ASRC.

Which angle is congruent to angle ACQ?

A. angle ASB B. angle SBA C. angle CQA D. angle BCQ

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MA.912.G.3.4/MA.912.G.8.5 57. For the quadrilateral ABCD, the diagonals bisect each other.

The flowchart shown below is used to prove that quadrilateral ABCD is a parallelogram.

In the flowchart, what is justification B?

A. Alternate interior angles are congruent. B. Corresponding angles are congruent. C. Corresponding parts of congruent triangles are congruent. D. Reflexive property.

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MA.912.G.3.4/MA.912.G.8.5 58. A (4, 4), B (7, 0), C (11, 3), and D (8, 7) are four points on the coordinate grid. Miranda and Pete joined the points using straight lines to draw a quadrilateral ABCD. Miranda wrote the following statements to prove that “ABCD is a parallelogram that is not a rhombus.”

slope of (4 0) 4AB(4 7) 3−

= = −−

slope of (7 3) 4DC(8 11) 3

−= = −

−

slope of (0 3) 3BC(7 11) 4

−= =

−

slope of (4 7) 3AD(4 8) 4−

= =−

Pete wrote the following statements to prove that “ABCD is a rhombus.”

2 2AB (4 7) (4 0) 25 5= − + − = =

2 2BC (7 11) (0 3) 25 5= − + − = =

2 2CD (11 8) (3 7) 25 5= − + − = =

2 2DA (8 4) (7 4) 25 5= − + − = =

Which statement is correct?

A. Miranda is incorrect because she has used the incorrect formula to calculate the slope of the lines. B. Pete is correct because all the four sides of the quadrilateral ABCD are equal: therefore, it is a rhombus. C. Pete is incorrect because he has used the incorrect formula to find the distance between the points of the segments. D. Miranda is correct because the slope of AB is equal to DC and slope of BC is equal to AD: therefore, it is a rhombus.

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MA.912.G.5.1/MA.912.G.8.4 59. Look at the squares, ABCD, CEFG, and PQEB in the figure shown below.

Which fact can be best used to prove that BC2 + CE2 = BE2?

A. Area of PQEB is greater than the square of the area of ABCD. B. Area of PQEB is greater than the square of the area of CEFG. C. Area of PQEB is equal to the sum of the areas of CEFG and ABCD. D. Area of CEFG is equal to the sum of the areas of PQEB and ABCD. MA.912.G.5.1/ MA.912.G.8.4 60. The points L1 and L2 are located on the circumference of a circle having a diameter of 54 feet.

If C is the center of the circle, what is the distance from point L1 to point L2 along a straight line?

A. 18 feet B. 27 feet C. 32.24 feet D. 38.18 feet